{
  "id": "1911.10306",
  "version": "v1",
  "published": "2019-11-23T03:32:18.000Z",
  "updated": "2019-11-23T03:32:18.000Z",
  "title": "Liouville type theorems for minimal graphs over manifolds",
  "authors": [
    "Qi Ding"
  ],
  "categories": [
    "math.DG",
    "math.MG"
  ],
  "abstract": "Let $\\Sigma$ be a complete Riemannian manifold with the volume doubling property and the uniform Neumann-Poincar$\\mathrm{\\acute{e}}$ inequality. We show that any positive minimal graphic function on $\\Sigma$ is a constant.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-23T03:32:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "liouville type theorems",
      "minimal graphs",
      "complete riemannian manifold",
      "positive minimal graphic function",
      "volume doubling property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}